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Among many remarkable qualities of graphene, its electronic properties attract particular interest due to a massless chiral character of charge carriers, which leads to such unusual phenomena as metallic conductivity in the limit of no…

介观与纳米尺度物理 · 物理学 2011-04-07 F. Guinea , M. I. Katsnelson , A. K. Geim

Interactions among electrons can give rise to striking collective phenomena when the kinetic energy of charge carriers is suppressed. One example is the fractional quantum Hall effect, in which correlations between electrons moving in two…

介观与纳米尺度物理 · 物理学 2012-09-24 Benjamin E. Feldman , Benjamin Krauss , Jurgen H. Smet , Amir Yacoby

We review the theoretical basis and understanding of electronic interactions in graphene Landau levels, in the limit of strong correlations. This limit occurs when inter-Landau-level excitations may be omitted because they belong to a…

介观与纳米尺度物理 · 物理学 2012-02-03 M. O. Goerbig , N. Regnault

We discuss the quantum Hall effect of bilayer graphene with finite gate voltage where the Fermi energy exceeds the interlayer hopping energy. We calculated magnetic susceptibility, diagonal and off-diagonal conductivities in…

介观与纳米尺度物理 · 物理学 2009-11-13 Masaaki Nakamura , Lila Hirasawa , Ken-Ichiro Imura

We analyze the quantum Hall effect in single layer graphene with bilayer stripe defects. Such defects are often encountered at steps in the substrate of graphene grown on silicon carbide. We show that AB or AA stacked bilayer stripes result…

介观与纳米尺度物理 · 物理学 2013-05-29 Tomas Lofwander , Pablo San-Jose , Elsa Prada

We use a lowest Landau level model to study the recent observation of an anomalous Hall effect in twisted bilayer graphene. This effective model is rooted in the occurrence of Chern bands which arise due to the coupling between the graphene…

强关联电子 · 物理学 2020-04-28 Nick Bultinck , Shubhayu Chatterjee , Michael P. Zaletel

We numerically study the quantum Hall effect (QHE) in bilayer graphene based on tight-binding model in the presence of disorder. Two distinct QHE regimes are identified in the full energy band separated by a critical region with…

介观与纳米尺度物理 · 物理学 2015-05-13 R. Ma , L. Sheng , R. Shen , M. Liu , D. N. Sheng

We present a microscopic theory to give a physical picture of the formation of quantum anomalous Hall (QAH) effect in graphene due to a joint effect of Rashba spin-orbit coupling $\lambda_R$ and exchange field $M$. Based on a continuum…

材料科学 · 物理学 2012-03-29 Zhenhua Qiao , Hua Jiang , Xiao Li , Yugui Yao , Qian Niu

We theoretically study the electronic band structure and the Hall effect in the negatively-curved three-dimensional (3D) graphene network in magnetic fields. We found that special energy regions appear above and below the zero-energy Landau…

介观与纳米尺度物理 · 物理学 2019-03-06 Toshiki Kiryu , Mikito Koshino

The realization of fractional Chern insulators in moir\'e materials has sparked the search for further novel phases of matter in this platform. In particular, recent works have demonstrated the possibility of realizing quantum anomalous…

介观与纳米尺度物理 · 物理学 2025-07-29 Raul Perea-Causin , Hui Liu , Emil J. Bergholtz

It has long been speculated that quasi-two-dimensional superconductivity can reappear above its semiclassical upper critical field due to Landau quantization, yet this reentrant property has never been observed. Here, we argue that twisted…

超导电性 · 物理学 2021-09-27 Gaurav Chaudhary , A. H. MacDonald , M. R. Norman

We investigate the quantum anomalous Hall Effect (QAHE) and related chiral transport in the millimeter-size (Cr0.12Bi0.26Sb0.62)2Te3 films. With high sample quality and robust magnetism at low temperatures, the quantized Hall conductance of…

We have analyzed the breakdown of the quantum Hall effect in 1 micrometer wide Hall devices fabricated from an exfoliated monolayer graphene transferred on SiOx. We have observed that the deviation of the Hall resistance from its quantized…

介观与纳米尺度物理 · 物理学 2013-04-02 Cenk Yanik , Ismet I. Kaya

We report the observation of a quantum anomalous Hall effect in twisted bilayer graphene showing Hall resistance quantized to within .1\% of the von Klitzing constant $h/e^2$ at zero magnetic field.The effect is driven by intrinsic strong…

强关联电子 · 物理学 2020-03-18 M. Serlin , C. L. Tschirhart , H. Polshyn , Y. Zhang , J. Zhu , K. Watanabe , T. Taniguchi , L. Balents , A. F. Young

In QED of two space dimensions, a quantum Hall effect occurs in the absence of any magnetic field. We give a simple and transparent explanation. In solid state physics, the Hall conductivity for non-degenerate ground state is expected to be…

介观与纳米尺度物理 · 物理学 2008-04-25 Marianne Leitner

We consider a rhombohedral-stacked $N$-layer graphene coupled to a monolayer of Haldane model. We show that high order Dirac points in multilayer graphene can be gapped out by topological proximity effect of the Haldane model layer, leading…

介观与纳米尺度物理 · 物理学 2025-12-25 Yuejiu Zhao , Long Zhang , Fu-Chun Zhang

We model the quantum Hall effect in heterostructures made of two gapped graphene stripes with different gaps, $\Delta_1$ and $\Delta_2$. We consider two main situations, $\Delta_1=0,\Delta_2\neq0$ and $\Delta_1=-\Delta_2$. They are…

介观与纳米尺度物理 · 物理学 2013-08-01 J. L. Lado , J. W. González , J. Fernández-Rossier

We present a theoretical framework to describe the integer quantum Hall effect (IQHE) in three-dimensional (3D) electron systems. This extends our previous single-electron approach, which was successfully applied to two-dimensional (2D)…

介观与纳米尺度物理 · 物理学 2025-09-09 M. A. Hidalgo

We start the paper with a brief presentation of the main characteristics of graphene, and of the Dirac theory of massless fermions in 2+1 dimensions obtained as the associated low-momentum effective theory, in the absence of external…

高能物理 - 理论 · 物理学 2008-11-26 C. G. Beneventano , E. M. Santangelo

We study the effect of a uniform pseudomagnetic field, induced by a strain in a monolayer and double layer of gapped graphene, acting on excitons. For our analysis it is crucial that the pseudomagnetic field acts on the charges of the…

介观与纳米尺度物理 · 物理学 2022-08-05 Oleg L. Berman , Roman Ya. Kezerashvili , Yurii E. Lozovik , Klaus G. Ziegler